Answer:
Multiplication Symbols:
<u>1.</u><u> Times</u> ×
<u>2.</u><u> Dot</u> ⋅
<u>3.</u><u> Parentheses</u> ()
<u>4.</u><u> Variables next to each other</u> <em>ab</em>
Step-by-step explanation:
The symbols can be used like this...
Times: <em>a</em> × <em>b</em> = <em>c</em>
Dot: <em>a</em> ⋅ <em>b</em> = <em>c</em>
Parentheses:<em> </em>(<em>a</em>)(<em>b</em>) = <em>c</em>
Variables next to each other: <em>ab </em>= <em>c</em>
Answer:
Options (3), (4) and (5)
Step-by-step explanation:
1). a² - 9a + 7ab + 63b
= a(a - 9) + 7b(a + 9)
Now we can not solve this problem further.
Therefore, can't be factored by grouping.
2). 3a + 4ab - b - 12
= a(3 + 4b) - 1(b - 12)
We can't solve it further.
Therefore, can't be factored by grouping.
3). ab + 6b - 2a - 12
= b(a + 6) - 2(a + 6)
= (b - 2)(a + 6)
We can be factored this expression by grouping.
4). x³ + 9x²+ 7x + 63
= x²(x + 9) + 7(x + 9)
= (x² + 7)(x + 9)
Therefore, the given expression can be factored by grouping.
5). ay² + a - y² - 1
= a(y² + 1) - 1(y² + 1)
= (a - 1)(y² + 1)
This expression can be factored by the grouping method.
Options (3), (4) and (5) are the correct answers.
1/5 is .2
.1^2 is .01
.02 is .02
So the furthest left would be the smallest number, which in this case is 0.1^2
The perimeter of a rectangle is 62m. find the length of its sides if it is known that the area of the rectangle is 1980000 cm².
Answer:
Fraction of bread used in the recipe is 3/12 which can be further simplified into 1/4
Explanation:
The original loaf of bread is 100% complete (no fraction is taken from it yet). This means that the value of the original loaf is 12/12
Now, assume that the fraction used in the recipe is x
We know that:
2/12 of the loaf was used in making a sandwich
7/12 of the oaf was put in the refrigerator
Therefore:
complete loaf = fraction used in making a sandwich + fraction used in making recipe + fraction put in refrigerator
12/12 = x + 2/12 + 7/12
12/12 = x + 9/12
x = 12/12 - 9/12
x = 3/12
Hope this helps :)
